(a) True. Suppose A is a not a square matrix, with m rows and n columns. Then A² is not defined, because you can't multiply an m×n matrix by another m×n matrix.
(b) False. As an example, consider the matrices


Then both AB and BA are defined, with


In general, you can multiply any m×n by any n×m matrix.
(c) True. Multiplying a m×n matrix by a n×m matrix always yields a m×m matrix, and multiplying a n×m matrix by a m×n matrix always yields a n×n matrix.
Answer:
the hot-holding temperature threshold is 135 degrees Fahrenheit
Step-by-step explanation:
the hot-holding temperature threshold is 135 degrees Fahrenheit
The only way to do this one is by long division which I can't figure out how to show here. There are some great examples online if you google long division with polynomials.
The answer is 3x^2+3x+3 with a remainder of 5x+6 who's is usually shown as (5x+6)/2x^2 +2x+4 which was the divisor g(x).
Work is provided in the image attached.
Start with the slope formula.
Plug the coordinates in for the appropriate places.
Then simplify.
Any questions?
Feel free to ask.